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Finding the Fourth Proportional to 10,493.92, 15,617.03 and 10,144

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Solution

The fourth proportional to 10,493.92, 15,617.03 and 10,144 is: 15,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.92 : 15,617.03 = 10,144 : x
  2. Step 2: Convert to fraction form
    10,493.92/15,617.03 = 10,144/x
  3. Step 3: Cross multiply
    10,493.92x = 15,617.03 × 10,144
  4. Step 4: Simplify right side
    10,493.92x = 158,419,152.32
  5. Step 5: Solve for x
    x = 158,419,152.32/10,493.92
  6. Step 6: Final answer
    x = 15,096.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.